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四阶微分方程     
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  fourth order differential equations
     The existence of two C2[0,1] positive solutions as well as C3[0,1] positive solutions is established for a singular boundary value problem of fourth order differential equations by using the fixed point theorems of cone expansion and cone compression of norm type.
     本文利用锥压缩和锥拉伸不动点定理,给出了四阶微分方程奇异边值问题两 个C2[0,1]和C3[0,1]正解的存在性.
短句来源
     On the Asymptotic Stability of Solutions for Fourth Order Differential Equations
     四阶微分方程解的渐进稳定性(英文)
短句来源
     This paper investigates the existence of positive solutions of singular boundary value problems of fourth order differential equations. A necessary and sufficientcondition for the existence of C2[0, 1] positive solutions as well as C3[0, 1] positive solutions is given by means of the method of lower and upper solutions with the maximumprinciple.
     本文利用上下解方法和极大值原理给出了四阶微分方程的奇异边值问题有C2[0,1]和C3[0,1]正解存在的充分必要条件.
短句来源
     This paper studies the existence of positive solutions to singular boundary value problems of fourth order differential equations. A necessary and sufficient condition for the existence of C 2[0,1],as well as C 3[0,1],positive solutions is given by the method of lower and upper solutions,and by the maximum principle.
     利用上下解方法和极大值原理给出了一般边界条件下四阶微分方程的奇异边值问题有 C2 [0 ,1 ]和 C3[0 ,1 ]正解存在的充分必要条件 . 推广了韦忠礼( 1 999)的结果
短句来源
     In this paper, by use of the fixed theorem on cone, the author gives some sufficient conditions as well as the necessary and sufficient condition for existence of positive solution for singular boundary value problems of superlinear fourth order differential equations.
     该文利用锥不动点理论,分别给出了超线性四阶微分方程奇异边值问题正解存在的充分条件和充分必要条件.
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  differential equation with four orders
     Estimation of the Upper Bound of Generalized Second Eigenvalue for the Differential Equation with Four Orders
     四阶微分方程广义第二特征值的上界估计
短句来源
     One Computational Method of the Weighted Eigenvalues of a Class of Differential Equation with Four Orders
     某类四阶微分方程带权特征值的算法
短句来源
     Computation of the Generalized Eigenvalues of the Differential Equation with Four Orders
     四阶微分方程广义特征值的算法
短句来源
     This paper considers one computational method of the approximate value of the weighted eigenvalues of a class of differential equation with four orders.
     考虑计算某类四阶微分方程带权特征值的近似值的算法.
短句来源
     The paper presents the estimation of the upper bound of generalized second eigenvalue for the differential equation with four orders. The upper of second eigenvalue is dependent on the first eigenvalue based on integral, Rayleigh theorem and inequality estimation. The estimation coefficients do not depend on the measure of the domain in which the problem is concerned.
     考虑四阶微分方程广义第二特征值的上界估计,利用试验函数、Rayleigh定理、分部积分、Schwartz不等式和Young不等式等估计方法与技巧,获得了用第一特征值来估计第二特征值上界的不等式,其估计系数与区间的度量无关.
短句来源
  fourth order differential equation
     In this paper,we are concerned with the fourth order differential equation (r(t)(t)) ″+f(t,x(g(t)))=0 tt 0 . Some necessary and sufficient conditions for oscillation of (1) are obtained.
     给出了四阶微分方程(r(t) x(t) ) ″+f(t,x(g(t) ) ) =0 t t0的所有解 (有界解 )振动的一些充分条件和必要条件 .
短句来源
     The Asymptotic Stability and the Boundedness of Solutions for a Class of Fourth Order Differential Equation
     四阶微分方程解的渐进稳定性及有界性
短句来源
  four-order differential equations
     Periodic Solutions of Four-Order Differential Equations
     四阶微分方程的周期解
短句来源
     For the convenience of computation, the established dynamic equations containing convolution integration are changed into four-order differential equations. Further, the system dynamic equation of the elastic linkage mechanism containing damping alloy parts is assembled according to the kineto-elastodynamics theory.
     为便于计算,将包含卷积运算的微分方程转换成一个四阶微分方程,进而装配出含有阻尼合金构件的弹性连杆机构的系统动力学方程。
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  fourth order differential equations
On the boundedness and the stability properties of solution of certain fourth order differential equations
      
On the boundedness and the stability results for the solution of certain fourth order differential equations via the intrinsic m
      
The governing equations for the optimal maneuver are derived in the form of coupled fourth order differential equations in the time domain.
      
Stability results for the solutions of some third and fourth order differential equations
      
On a class of nonlinear fourth order differential equations
      
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  fourth order differential equation
Hopf bifurcation and other dynamical behaviors for a fourth order differential equation in models of infectious disease
      
Existence of solutions of three-point boundary value problems for nonlinear fourth order differential equation
      
In this paper, the author uses the methods in [1, 2] to study the existence of solutions of three point boundary value problems for nonlinear fourth order differential equation.
      
Sufficient conditions have been obtained so that all solutions of a different fourth order differential equation are bounded and uniformly bounded.
      
Sufficient conditions have been obtained so that all solutions of a different fourth order differential equation are bounded and uniformly bounded.
      
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